Approximates the angle between the vectors Aproxima el angul

Approximates the angle between the vectors

Aproxima el angulo entre los vectores upsilon vector = - 5t vector + 7 J y w vector = - 6_l vector - 4 J vector. almostequalto 20.7 degree almostequalto 90 degree almostequalto 110.78 degree almostequalto 88.15 degree

Solution

v=-5i + 7j , w= -6i -4j

v.w=(-5)(-6)+7(-4) =2

I v I =sqrt(25 +49) =sqrt74

I w I =sqrt(36 +16)=sqrt 52

theta=cos^-1(v.w/I v I I w I) = cos^-1(2/sqrt(74 *52)) = 88.15degree